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Finding the Fourth Proportional to 1,430,084.40, 1,973,530.71 and 776,723.19

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Solution

The fourth proportional to 1,430,084.40, 1,973,530.71 and 776,723.19 is: 1,071,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,084.40 : 1,973,530.71 = 776,723.19 : x
  2. Step 2: Convert to fraction form
    1,430,084.40/1,973,530.71 = 776,723.19/x
  3. Step 3: Cross multiply
    1,430,084.40x = 1,973,530.71 × 776,723.19
  4. Step 4: Simplify right side
    1,430,084.40x = 1,532,887,068,634.16
  5. Step 5: Solve for x
    x = 1,532,887,068,634.16/1,430,084.40
  6. Step 6: Final answer
    x = 1,071,885.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.